A cardinal defined by a polarized partition relation

DC Field	Value	Language
dc.contributor.author	Di Prisco, Carlos	en
dc.contributor.author	Todorčević, Stevo	en
dc.date.accessioned	2020-05-01T20:29:28Z	-
dc.date.available	2020-05-01T20:29:28Z	-
dc.date.issued	1999-01-01	en
dc.identifier.issn	0021-2172	en
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/2246	-
dc.description.abstract	We study the first cardinal κ satisfying a partition relation defined on the set of finite sequences of smaller ordinals. We show that the fact that this cardinal is אω is equiconsistent with the existence of a measurable cardinal. Under GCH, this cardinal must be inaccessible if it has uncountable cofinality. It is shown that the GCH assumption is necessary here.	en
dc.publisher	Springer Link	-
dc.relation.ispartof	Israel Journal of Mathematics	en
dc.title	A cardinal defined by a polarized partition relation	en
dc.type	Article	en
dc.identifier.doi	10.1007/BF02775025	en
dc.identifier.scopus	2-s2.0-0040631799	en
dc.contributor.affiliation	Mathematical Institute of the Serbian Academy of Sciences and Arts	-
dc.relation.firstpage	41	en
dc.relation.lastpage	52	en
dc.relation.volume	109	en
dc.description.rank	M22	-
item.fulltext	No Fulltext	-
item.openairetype	Article	-
item.grantfulltext	none	-
item.cerifentitytype	Publications	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
crisitem.author.orcid	0000-0003-4543-7962	-

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